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New Developments in the Casimir Effect
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New Developments in the Casimir Effect
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We provide a review of both new experimental and theoretical developments in the Casimir effect. The Casimir effect results from the alteration by the boundaries of the zero-point electromagnetic energy. Unique to the Casimir force is its strong dependence on shape, switching from attractive to repulsive as function of the size, geometry and topology of the boundary. Thus the Casimir force is a direct manifestation of the boundary dependence of quantum vacuum. We discuss in depth the general structure of the infinities in the field theory which are removed by a combination of zeta-functional regularization and heat kernel expansion. Different representations for the regularized vacuum energy are given. The Casimir energies and forces in a number of configurations of interest to applications are calculated. We stress the development of the Casimir force for real media including effects of nonzero temperature, finite conductivity of the boundary metal and surface roughness. Also the combined effect of these important factors is investigated in detail on the basis of condensed matter physics and quantum field theory at nonzero temperature. The experiments on measuring the Casimir force are also reviewed, starting first with the older measurements and finishing with a detailed presentation of modern precision experiments. The latter are accurately compared with the theoretical results for real media. At the end of the review we provide the most recent constraints on the corrections to Newtonian gravitational law and other hypothetical long-range interactions at submillimeter range obtained from the Casimir force measurements.
Forward citations
Cited by 11 Pith papers
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Vacuum polarization and renormalized stress-energy tensor of spherical thin shells
The Boulware vacuum RVP and RSET for spherical thin shells are computed analytically near the surface and center, and numerically throughout, showing finite interior effects and rapid exterior convergence to Schwarzsc...
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Vacuum-induced current density from a magnetic flux threading a cosmic dispiration in $(D+1)$-dimensional spacetime
Magnetic flux through a cosmic dispiration induces both azimuthal and axial vacuum currents in a charged scalar field, with the axial part arising directly from the screw dislocation and both components periodic in th...
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One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime
For a self-interacting scalar field between rough parallel plates, the one-loop Casimir energy and induced mass get corrections set by integrals of the roughness profile plus exponentially small thermal terms.
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Vacuum-induced current density from a magnetic flux threading a cosmic dispiration in $(D+1)$-dimensional spacetime
Vacuum of a charged scalar in a (D+1)-dimensional cosmic dispiration with magnetic flux induces both azimuthal and axial currents, the latter from helical torsion, with closed massive/massless expressions that reduce ...
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Accelerated expansion of the universe purely driven by scalar field fluctuations
In a closed Friedmann universe, scalar field fluctuations with Compton wavelength exceeding the scale factor produce negative pressure and cosmic acceleration.
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Anomalous-magnetic-moment-enhanced Casimir effect
Anomalous magnetic moment of Dirac fermions enhances fermionic Casimir energy under magnetic fields via gapless lowest Landau level behavior.
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Effects of Curvature-Scalar Coupling on Vacuum Energy in Flat (3+1)-Dimensional Space-Time
In flat (3+1)-dimensional spacetime, the vacuum energy induced by an impenetrable magnetic flux tube with Robin boundary conditions depends on the curvature coupling ξ; only Dirichlet and Neumann boundary conditions m...
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One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime
Analytical expressions for quantum corrections to the Casimir effect and topological mass are derived for perturbative rough plates using WKB approximation and zeta-function regularization.
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Do neutrinos dream in 5D? Towards a comprehensive extra-dimensional neutrino phenomenology
Surveys neutrino masses and mixing in 5D large extra dimension scenarios across four mass-generation cases and derives constraints from oscillation data.
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On the simple derivation of the Casimir effect
Discussion of mathematical nuances in Casimir's original derivation to achieve a complete and sound simple derivation of the effect.
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